کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527344 | 958830 | 2005 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lévy integrals and the stationarity of generalised Ornstein-Uhlenbeck processes
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The generalised Ornstein-Uhlenbeck process constructed from a bivariate Lévy process (ξt,ηt)t⩾0 is defined asVt=e-ξtâ«0teξs-dηs+V0,t⩾0,where V0 is an independent starting random variable. The stationarity of the process is closely related to the convergence or divergence of the Lévy integral â«0âe-ξt-dηt. We make precise this relation in the general case, showing that the conditions are not in general equivalent, though they are for example if ξ and η are independent. Characterisations are expressed in terms of the Lévy measure of (ξ,η). Conditions for the moments of the strictly stationary distribution to be finite are given, and the autocovariance function and the heavy-tailed behaviour of the stationary solution are also studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 115, Issue 10, October 2005, Pages 1701-1722
Journal: Stochastic Processes and their Applications - Volume 115, Issue 10, October 2005, Pages 1701-1722
نویسندگان
Alexander Lindner, Ross Maller,